Number theory
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
Formal statement
Proof target
import FormalConjectures.ErdosProblems.«495»
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "Erdos495.erdos_495" := by
sorry
end Bounty
Original conjecture (Lean type)
True ↔ ∀ (α β : ℝ), Filter.liminf (fun n => ↑n * distToNearestInt (↑n * α) * distToNearestInt (↑n * β)) Filter.atTop = 0Original conjecture source: FormalConjectures/ErdosProblems/495.lean
References
Something wrong with this formalization?
A statement that does not faithfully capture the original conjecture is the one real risk here, so we would rather hear about it early - before someone spends weeks on it.
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